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Finding the Fourth Proportional to 632.84, 948.96 and 242.91

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Solution

The fourth proportional to 632.84, 948.96 and 242.91 is: 364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.84 : 948.96 = 242.91 : x
  2. Step 2: Convert to fraction form
    632.84/948.96 = 242.91/x
  3. Step 3: Cross multiply
    632.84x = 948.96 × 242.91
  4. Step 4: Simplify right side
    632.84x = 230,511.87
  5. Step 5: Solve for x
    x = 230,511.87/632.84
  6. Step 6: Final answer
    x = 364.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.